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Finding the Fourth Proportional to 2,075.50, 3,112.92 and 842.60

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Solution

The fourth proportional to 2,075.50, 3,112.92 and 842.60 is: 1,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.50 : 3,112.92 = 842.60 : x
  2. Step 2: Convert to fraction form
    2,075.50/3,112.92 = 842.60/x
  3. Step 3: Cross multiply
    2,075.50x = 3,112.92 × 842.60
  4. Step 4: Simplify right side
    2,075.50x = 2,622,946.39
  5. Step 5: Solve for x
    x = 2,622,946.39/2,075.50
  6. Step 6: Final answer
    x = 1,263.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.